Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Kuibin P.   Sharypov O.  

Structure of film flow under heat source propagation

Reporter: Kuibin P.

     The effect of moving heat source on the flow structure in gravity-driven thin liquid film is studied theoretically. The 2-D steady-state conjugated hydrodynamic and thermal problem is solved in long-wave approximation. The equations for film thickness and temperature in finite-difference form are solved numerically with iteration method.
      The flow structures in different regimes are compared: from the regime of flow along vertical substrate with resting heat source to the regime with moving heat source and horizontal liquid layer. It is shown numerically that changing of the velocity profile (connected with increase of heat source velocity and slope decrease under other equal conditions: fixed flow rate, film thickness and heat release) leads to dramatic amplification of thermocapillary deformation of the film.

Abstracts file: Kuibin_Sharypov_abstract.pdf
Full text file: Kuibin_Sharypov_paper.pdf

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